How to Solve Vertical Angles - Theorem, Proof

Definition:

The congruent angles formed by the intersection of two lines and are opposite to each other are called verticle angles.

Formula :

Two lines are intersect each other and form four angles in which, the angles that are opposite to each other are verticle angles. These opposite angles (verticle angles ) will be equal.

A ^o = C ^o
B ^o = D ^o

Example:

If the angle A is 40 degree, then find the other three angles.

Given,

A= 40 deg

To Solve,

Vertical angle and remaining two angles

Solution:

A = C ,
Therefore, C = 40
B = 180-A = 140
B = D ,
Therefore, D = 140